Home / 1,403.25-2,104.89-538.17

Finding the Fourth Proportional to 1,403.25, 2,104.89 and 538.17

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Solution

The fourth proportional to 1,403.25, 2,104.89 and 538.17 is: 807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.25 : 2,104.89 = 538.17 : x
  2. Step 2: Convert to fraction form
    1,403.25/2,104.89 = 538.17/x
  3. Step 3: Cross multiply
    1,403.25x = 2,104.89 × 538.17
  4. Step 4: Simplify right side
    1,403.25x = 1,132,788.65
  5. Step 5: Solve for x
    x = 1,132,788.65/1,403.25
  6. Step 6: Final answer
    x = 807.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.